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emmainna [20.7K]
2 years ago
7

Enter the missing numbers in the boxes to complete the table of equivalent ratios of time to distance.

Mathematics
2 answers:
mylen [45]2 years ago
6 0
The ratio between 12 and 8 is 1.5, so you need to divide every other number by 1.5.


2/1.5=1.3

9/1.5=6

18/1.5=12

If I read, and understood, your question correctly, this should be right.
ozzi2 years ago
4 0

Answer:

For Time (h) the order is

3

9

12

18

For Distance (mi) the order is

2

6

8

12

All together it looks like:

3:2

9:6

12:8

18:12

Step-by-step explanation:

I took the test online in K12 and when I reviewed it said that that is the correct numbers and order. Have a nice day :)

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Please help me!!! I have more points for this!
olga2289 [7]

Answer:

Thanks for the points :)>

Step-by-step explanation: yeahhh shawtyyy

7 0
3 years ago
The minute hand of a clock is 1010 inches long and moves from 12 to 33 ​o'clock. How far does the tip of the minute hand​ move?
kenny6666 [7]

Answer: 2929 π  inch

Step-by-step explanation:

Circumference is given by= 2πr

Here r= 1010 inches

So Tip of minute hand moves= 2π (1010inch)

                                                = 2020 π inch for an hour

Now it comes from 12 to 33 o'clock=  1.45 hour so,

Tip of minute hand moves= 2020 π inch  x 1.45

Tip of minute hand moves= 2929 π  inch

5 0
2 years ago
4x+(7-3)5=10 please help with this one
Ostrovityanka [42]

Answer:

x=-2.5

Step-by-step explanation:

4x+(7-3)5=10

4x+(4)5=10

4x+20=10

subtract 20 from each side

4x=-10

divide each side by 4

x=-2.5

3 0
3 years ago
Read 2 more answers
Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.
AlladinOne [14]

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715

Probability:

p = \frac{D}{T} = \frac{1}{715} = 0.0014

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

7 0
3 years ago
Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge
Ede4ka [16]

Answer:

Part a) The quadratic function is 4x^{2} +20x-39=0

Part b) The value of x is 1.5\ in

Part c) The photo and frame together are 7\ in wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0

Part b) What is the value of x?

Solve the quadratic equation 4x^{2} +20x-39=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem

we have

4x^{2} +20x-39=0

so

a=4\\b=20\\c=-39

substitute in the formula

x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}

x=\frac{-20(+/-)\sqrt{1,024}} {8}

x=\frac{-20(+/-)32} {8}

x=\frac{-20(+)32} {8}=1.5\ in  -----> the solution

x=\frac{-20(-)32} {8}=-6.5\ in

Part c) How wide are the photo and frame together?

(4+2x)=4+2(1.5)=7\ in

5 0
3 years ago
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